If \(f(x)=\lfloor x\rfloor\) and \(g(x)=x-\lfloor x\rfloor\), what is the value of ((f+2g)(x)) at \(x=\frac{7}{3}\)?यदि \(f(x)=\lfloor x\rfloor\) और \(g(x)=x-\lfloor x\rfloor\) हैं, तो ((f+2g)(x)) का \(x=\frac{7}{3}\) पर मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{8}{3}\)\(\frac{8}{3}\)
\(\lfloor\frac{7}{3}\rfloor=2\) and \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), so the value is \(2+\frac{2}{3}=\frac{8}{3}\). Find integer and fractional parts separately.\(\lfloor\frac{7}{3}\rfloor=2\) और \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), इसलिए मान \(2+\frac{2}{3}=\frac{8}{3}\) है। पूर्णांक और भिन्न भाग अलग निकालें।
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